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kipiarov [429]
3 years ago
13

What is the length of the diagonal of rectangle abcd ?

Mathematics
1 answer:
NISA [10]3 years ago
4 0
Answer b 26 because a squared plus b squared = c squared so 10x10 + 24x24 = 676 and so you take the square root of 676 which is 26.
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Please Help. I really don’t get this concept, if you could explain it in detail it would be very appreciated
Dafna11 [192]
<h3>Answer: 24/25</h3>

=================================================

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

--------------------------

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

---------------------------

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

6 0
3 years ago
In how many ways can 10 people be divided into three groups with 2, 3, and 5 people respectively?
Liula [17]

Answer:

2100

Step-by-step explanation:

In how many ways can a group of 10 people be divided into three groups consisting of 2,3, and 5 people?

First, you need to choose 4 people to fill the first group.

The number of ways is (104) which equals to 210.

Then, pick 3 more people out of the remaining 6 to be in the second group. And then, pick 3 more out of the remaining 3.

However, we need to divide it by 2, since we don’t really care on the order of selection of group.

(63)(33)/2=10

So, there are 210 x 10 = 2100 ways

6 0
3 years ago
Read 2 more answers
Martin is covering his bathroom floor with square tiles. When he gets to the end of a row of tiles, he needs to cut the length o
kati45 [8]

All squares are equal sides.Let X be the side of a square.\\Area of square,A = x^2

Here a tile is a square of side length 'x'. The following  polynomial represents,

(x - 4) represents "the width of the new tile" (because 4 inches cut from the tile)

4x represents "the area removed from the tile" (since one side of removed tile is 'x' and other is 4 inches.)

x2  represents "area of original tile" of side equal to 'x'

x represents "the length of the new tile" (since length of new tile  is not reduced. Length =x and breadth is x-4

6 0
3 years ago
Need Help Now! The tape diagram represents an equation. Write an equation to represent the image.
Fudgin [204]

Answer:

1.75 = 5n

Step-by-step explanation:

hope this helps

5 0
3 years ago
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Add. write each sum in simplest form 2 4/5 + 4 1/10
PSYCHO15rus [73]
Ok I almost have the answer. Do you want me to explain how I did it?
6 0
3 years ago
Read 2 more answers
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